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Finding the Third Proportional to 60,280 and 91,823

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Solution

The third proportional to 60,280 and 91,823 is: 139,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,280 : 91,823 = 91,823 : x
  2. Step 2: Convert to fraction form
    60,280/91,823 = 91,823/x
  3. Step 3: Cross multiply
    60,280x = 91,823 × 91,823
  4. Step 4: Simplify right side
    60,280x = 8,431,463,329
  5. Step 5: Solve for x
    x = 8,431,463,329/60,280
  6. Step 6: Final answer
    x = 139,871.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.